Nets and surface area

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

1. 1.

   Milo's wooden wedge is a triangular prism 8 cm long. Its ends are right triangles with sides of 3 cm, 4 cm and 5 cm. What is its surface area in square cm?

   108

2. Read this first

   Net of the prism on a grid, each square 1 cm by 1 cm

   a row of three rectangles (10 by 5, 10 by 12 and 10 by 13), a right triangle with sides 5, 12 and 13 joined above the first rectangle, and another joined below the third.

3. 2.

   Pia's doorstop is a triangular prism 10 cm long. Its ends are right triangles with sides of 5 cm, 12 cm and 13 cm. What is its surface area in square cm?

   360
4. 3.

   Ren's cheese wedge is a triangular prism 12 cm long. Its ends are right triangles with sides of 3 cm, 4 cm and 5 cm. What is its surface area in square cm?

   156
5. 4.

   Tala's roof model is a square pyramid, base 14 cm by 14 cm. Each of its 4 triangle faces has base 14 cm and height 9 cm. What is its surface area in square cm?

   448

6. Use this

   Net of the box on a grid, each square 1 in by 1 in: a row of four rectangles (12 by 7, 9 by 7, 12 by 7 and 9 by 7) with a rectangle 12 by 9 joined above the first and another joined below it.

7. 5.

   Esme's storage box is 12 in long, 9 in wide and 7 in tall. What is its surface area in square in?

   510
8. 6.

   Jun's crayon box is 20 cm long, 12 cm wide and 8 cm tall. All the colors are inside. What is its surface area in square cm?

   992

9. Use this

   Four nets, A to D, drawn on a grid with squares 1 cm by 1 cm, as described in the answer choices.

10. 7.

    Kira has four nets on the table. The pencil lines are very neat. Which of these nets folds into a square pyramid?

    • a cross of 5 squares
    • a row of 5 triangles
    • a square with triangles joined to only 3 of its sides, leaving the fourth side bare
    • a square with 1 triangle joined to each of its 4 sides
11. 8.

    Luz folds paper models in art class. The glue sticks to everything. Which of these nets folds into a triangular prism?

    • a row of 3 rectangles, with 2 triangles both joined above the row, over the 1st and the 3rd rectangles
    • a row of 3 rectangles, with 1 triangle joined above the middle rectangle
    • a row of 3 rectangles, with 1 triangle joined above the first rectangle and 1 triangle joined below the third rectangle
    • a row of 4 rectangles, with 1 triangle joined above the 1st rectangle and 1 triangle joined below the 4th rectangle, at opposite ends
12. 9.

    Milo traces four nets on a grid. The pencil needs sharpening. Which of these nets folds into a triangular prism?

    • a row of 4 rectangles, with 1 triangle joined above the 1st rectangle and 1 triangle joined below the 4th rectangle, at opposite ends
    • a triangle with a rectangle joined to each of its 3 sides
    • a row of 3 rectangles, with 2 triangles both joined above the row, over the 1st and the 3rd rectangles
    • a row of 3 rectangles, with 1 triangle joined above the middle rectangle and 1 triangle joined below the first rectangle
13. 10.

    Noah is making a gift box. The ribbon is ready. Which of these nets folds into a cube?

    • a row of 4 squares with 2 squares below it, under the 1st and the 4th squares
    • a row of 3 squares, with 2 squares side by side above it (one over the 1st square and one to the left of that) and 1 square below the 1st square
    • a 2 by 2 block of squares with 1 square to the left of it and 1 square to the right of it
    • a straight row of 6 squares